y=((-8e^9x)/(9x-2))

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Solution for y=((-8e^9x)/(9x-2)) equation:


D( x )

9*x-2 = 0

9*x-2 = 0

9*x-2 = 0

9*x-2 = 0 // + 2

9*x = 2 // : 9

x = 2/9

x in (-oo:2/9) U (2/9:+oo)

y = (-8*e^9*x)/(9*x-2) // - (-8*e^9*x)/(9*x-2)

y-((-8*e^9*x)/(9*x-2)) = 0

8*e^9*x*(9*x-2)^-1+y = 0

(8*e^9*x)/(9*x-2)+y = 0

(8*e^9*x)/(9*x-2)+(y*(9*x-2))/(9*x-2) = 0

y*(9*x-2)+8*e^9*x = 0

8*e^9*x+9*x*y-2*y = 0

8*e^9*x+9*x*y-2*y = 0

9*x*y-2*y = 0 // + -2*y

9*x*y = -(-2*y) // : 9*y

x = (-(-2*y))/(9*y)

x = 2/9

x-2/9 = 0

(x-2/9)/(9*x-2) = 0

(x-2/9)/(9*x-2) = 0 // * 9*x-2

x-2/9 = 0

x-2/9 = 0 // + 2/9

x = 2/9

x in { 2/9}

x belongs to the empty set

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